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The equation is in the form y = (x −h) + k, then the vertex (h,k). In the given equation the vertex is (2,1) Its y-intercept. At x = 0; y = (0 −2)2 + 1 = 4 +1 = 5. y-intercept (0,5) Its y - intercept (0,5) is above the vertex (2,1) the curve opens up. Hence it has no x-intercept. Refer Explanation Given - y= (x-2)^2+1 The equation is in the ...Graph y=1/4x+2. Step 1. Rewrite in slope-intercept form. Tap for more steps... Step 1.1. The slope-intercept form is , where is the slope and is the y-intercept. Step 1.2. Reorder terms. Step 2. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps... Step 2.1. Find the values of and using the form .ⓒ This function has a slope of –2 and a y-intercept of 3. This is the only function listed with a negative slope, so it must be represented by line IV because it slants downward from left to right. ⓓ This function has a slope of 1 2 1 2 and a y-intercept of 3. It must pass through the point (0, 3) and slant upward from left to right.

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Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Yes! I think you meant to write y = x^2 - 2x + 1 instead of y + x^2 - 2x + 1. So, if: y = x^2 - 2x + 1, and ... We have y is greater than x minus 8, and y is less than 5 minus x. Let's graph the solution set for each of these inequalities, and then essentially where they overlap is the solution set for the system, the set of coordinates that ...Suppose we want to graph the equation y = 2 x − 1. y = 2 x − 1. We can begin by substituting a value for x into the equation and determining the resulting value of y. Each pair of x- and y-values is an ordered pair that can be plotted. Table 1 lists values of x from -3 to 3 and the resulting values for y.Graph y-1=(x-3)^2. Step 1. Find the properties of the given parabola. Tap for more steps... Step 1.1. Add to both sides of the equation. Step 1.2. Use the vertex form, , to determine the values of , , and . Step 1.3. Since the value of is positive, the parabola opens up. Opens Up. Step 1.4.Trigonometry. Graph y=1/2*tan (1/4x)-2. y = 1 2 ⋅ tan ( 1 4 x) − 2 y = 1 2 ⋅ tan ( 1 4 x) - 2. Find the asymptotes. Tap for more steps... No Horizontal Asymptotes. No Oblique Asymptotes. Vertical Asymptotes: x = 2π+4πn x = 2 π + 4 π n where n n is an integer. Use the form atan(bx−c)+ d a tan ( b x - c) + d to find the variables used ...Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Untitled Graph. Save Copy. Log InorSign Up. f x = 1 x 1. g x = d dx f x. 2. y = g a x − a + f a. 3. a = 0. 8 5. 4. 5 ...The point-slope form of a line with slope m and passing through the point (x 1, y 1 ) is. y - y 1 - m (x - x 1) The slope-intercept form of a line with slope m and y-intercept b is. y = mx + b. A relationship determined by an equation of the form. y = kx (k a constant) is called a direct variation.Algebra. Graph y=2* (1/2)^x. y = 2 ⋅ ( 1 2)x y = 2 ⋅ ( 1 2) x. Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is y = 0 y = 0. Horizontal Asymptote: y = 0 y = 0. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step ...By graphing two functions, then, we can more easily compare their characteristics. There are three basic methods of graphing linear functions: Plot the points and then drawing a line through the points. Use the y-intercept and slope. Use transformations of the identity function f(x) = x.Step 1.2. Find the values of and using the form . Step 1.3. ... Graph the line using the slope, y-intercept, and two points. Slope: y-intercept: Step 4Graph y=2cos(1/2x) Step 1. Use the form to find the variables used to find the amplitude, period, phase shift, and vertical shift. Step 2. Find the amplitude . Amplitude: ... Step 6.5.2.1.2.4. Divide by . Step 6.5.2.2. Subtract full rotations of until the angle is greater than or equal to and less than . Step 6.5.2.3. The exact value of is .y-intercept: (0,0) ( 0, 0) Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Tap for more steps... x y 0 0 4 1 x y 0 0 4 1. Graph the line using the slope and the y-intercept, or the points. Slope: 1 4 1 4. y-intercept: (0,0) ( 0, 0)Transcript. To graph a linear equation in slope-intercept form, we can use the information given by that form. For example, y=2x+3 tells us that the slope of the line is 2 and the y-intercept is at (0,3). This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line.Select two x x values, and plug them into the equation to find the corresponding y y values. Tap for more steps... x y 0 0 2 1 x y 0 0 2 1. Graph the line using the slope and the y-intercept, or the points. Slope: 1 2 1 2. y-intercept: (0,0) ( 0, 0) x y 0 0 2 1 x y 0 0 2 1. Free math problem solver answers your algebra, geometry, trigonometry ...Graph x=1-y^2. Step 1. Reorder and . Step 2. Find the properties of the given parabola. Tap for more steps... Step 2.1. Rewrite the equation in vertex form. Tap for more steps... Step 2.1.1. Complete the square for . Tap for more steps... Step 2.1.1.1. Use the form , to find the values of , , and .y = 2x2. Find the properties of the given parabola. Tap for more steps... Direction: Opens Up. Vertex: (0, 0) Focus: (0, 1 8) Axis of Symmetry: x = 0. Directrix: y = - 1 8. Select a few x values, and plug them into the equation to find the corresponding y values.Graph y=-2 (x+1)^2-1. y = −2(x + 1)2 − 1 y = - 2 ( x + 1) 2 - 1. Find the properties of the given parabola. Tap for more steps... Direction: Opens Down. Vertex: (−1,−1) ( - 1, - 1) Focus: (−1,−9 8) ( - 1, - 9 8) Axis of Symmetry: x = −1 x = - 1. Directrix: y = −7 8 y = - 7 8.Question 775119: Graph the solution of y-2>1 on a number line. Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website! y-2 > 1 y-2+2 > 1+2 y+0 > 3 y > 3 To graph y > 3, you step 1) draw out a number line step 2) draw an open circle at 3Step 3.8.1.2.4. Divide by . Step 3.8.2. The final answer is . Step 3.9. The value at is . Step 3.10. Replace the variable with in the ... Step 3.11.1. One to any power is one. Step 3.11.2. The final answer is . Step 3.12. The value at is . Step 3.13. Graph the parabola using its properties and the selected points. Step 4. Graph the parabola ...y = −3x2 + 6x − 1 y = - 3 x 2 + 6 x - 1. Find the properties of the given parabola. Tap for more steps... Direction: Opens Down. Vertex: (1,2) ( 1, 2) Focus: (1, 23 12) ( 1, 23 12) Axis of Symmetry: x = 1 x = 1. Directrix: y = 25 12 y = 25 12. Select a few x x values, and plug them into the equation to find the corresponding y y values.

Figure 2.5.1. Now plot the points and compare the graphs of the functions g and h to the basic graph of f(x) = x2, which is shown using a dashed grey curve below. Figure 2.5.2. The function g shifts the basic graph down 3 units and the function h shifts the basic graph up 3 units.In this video we'll draw the graph for y = 2/3x - 1 . You may also see this written as f(x) = 2/3x - 1.First, we will use a table of values to plot point...Select two x x values, and plug them into the equation to find the corresponding y y values. Tap for more steps... x y 0 0 2 1 x y 0 0 2 1. Graph the line using the slope and the y-intercept, or the points. Slope: 1 2 1 2. y-intercept: (0,0) ( 0, 0) x y 0 0 2 1 x y 0 0 2 1. Free math problem solver answers your algebra, geometry, trigonometry ...Excel is a powerful tool that allows users to organize and analyze data in various ways. One of the most popular features of Excel is its ability to create graphs and charts. Graph...

Publicly traded companies are required to issue annual reports that tell shareholders how the company is doing financially. These often lengthy documents contain different financia...Graph y^2-1. y2 − 1 y 2 - 1. Find the properties of the given parabola. Tap for more steps... Direction: Opens Right. Vertex: (−1,0) ( - 1, 0) Focus: (−3 4,0) ( - 3 4, 0) Axis of ……

Reader Q&A - also see RECOMMENDED ARTICLES & FAQs. Let's do this with the following systems of equations: y = . Possible cause: The equation has a slope of 2/3 and the y-intercept is -1. The graph is a.

Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Untitled Graph. Save Copy. Log InorSign Up. y 4 + x 4 = sin 5 xy. 1. y 4 + x 4 = − sin 5 xy. 2. y 2 = 3 3 x − 2. 5 ...Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Step 2.1. The slope-intercept form is , where is the slope and is the y-intercept. Step 2.2. Find the values of and using the form . ... Graph the line using the slope and the y-intercept, or the points. Slope: y-intercept: Step 5 ...

Learn how to use Open Graph Protocol to get the most engagement out of your Facebook and LinkedIn posts. Blogs Read world-renowned marketing content to help grow your audience Read...If x = 1, y = 2(1) - 6 = -4 if x = 4, y = 2(4) - 6 = 2 Thus, two solutions of the equation are (1, -4) and (4, 2). Next, we graph these ordered pairs and draw a straight line through the points as shown in the figure. We use arrowheads to show that the line extends infinitely far in both directions.

Algebra. Graph x=1/24y^2. x = 1 24y2. Combine 1 24 and Divide each term in −4(x− 1) = (y−1)2 - 4 ( x - 1) = ( y - 1) 2 by −4 - 4 and simplify. Tap for more steps... x−1 = − (y −1)2 4 x - 1 = - ( y - 1) 2 4. Add 1 1 to both sides of the equation. x = − (y− 1)2 4 +1 x = - ( y - 1) 2 4 + 1. Find the properties of the given parabola. Tap for more steps... Direction: Opens Left.To find the line equation from its x-intercept (xc, 0) and y-intercept (0, yc), follow these steps: Determine the slope m of the line using m = (0 − yc)/ (xc − 0) to get m = −yc/xc. Formulate the line equation in the slope-intercept form y = mx + c, keeping in mind that c = yc. Simplify and rearrange as required, or use the equation as it is. Graph y=2cos(2x) Step 1. Use the form to find the variabRewrite in slope-intercept form. Tap for more steps... y = 1 2x+ Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Graph y = ax^2 + bx + c. Save Copy. Log InorSign Up. y = x 2. 1. y = ax 2 + bx + c. 2. a = 1. 3. b = 0. 4. c = 0. 5. 6. 7. powered by. powered by "x" x "y" y "a" squared a 2Graph y=-2cos(x) Step 1. Use the form to find the variables used to find the amplitude, period, phase shift, and vertical shift. Step 2. Find the amplitude . Amplitude: ... Step 6.5.2.1. Subtract full rotations of until the angle is greater than or equal to and less than . Step 6.5.2.2. The exact value of is . Step 6.5.2.3. Multiply by . Given equation of straight line is y + 2 < 1/4x y = 3 (x − 1) 2 + 2 y = 3 (x − 1) 2 + 2: Identify the constants a, h, k. a = 3 a = 3, h = 1 h = 1, k = 2 k = 2: Since a = 3, a = 3, the parabola opens upward. The axis of symmetry is x = h. x = h. The axis of symmetry is x = 1. x = 1. The vertex is (h, k). (h, k). The vertex is (1, 2). (1, 2). Find the y-intercept by substituting x = 0. x ...4 years ago. this video is to find the equation of a line in the form of slope-intercept equation, where "Y" = "the slope of the line (Y minus Y divided by X minus X from two different random point in the line)" times "X" plus "the Y intercept (where the line touches the Y-axis)". This is showing us how to calculate each of the "elements" of ... In this video we'll draw the graph for y = 1/2x + 1. YoFree y intercept calculator - find function&Since x = −1 x = - 1 is a vertical line, there is Tap for more steps... y = 2.19722457 y = 2.19722457. The log function can be graphed using the vertical asymptote at x = 0 x = 0 and the points (1,0),(2,1.38629436),(3,2.19722457) ( 1, 0), ( 2, 1.38629436), ( 3, 2.19722457). Vertical Asymptote: x = 0 x = 0. x y 1 0 2 1.386 3 2.197 x y 1 0 2 1.386 3 2.197. Free math problem solver answers your ...Pre-Algebra. Graph y=-2x-1. y = −2x − 1 y = - 2 x - 1. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps... Slope: −2 - 2. y-intercept: (0,−1) ( 0, - 1) Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Step 2.1. The slope-intercept form is , where is Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. This parabola OPENS DOWN because it has a negative in front of[Graph y=sin(2x) Step 1. Use the form to find the variables used to fStep 2.11.1.2. Multiply by . Step 2.11.2. Simplify by adding y = − 1 2x−1 y = - 1 2 x - 1. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps... Slope: − 1 2 - 1 2. y-intercept: (0,−1) ( 0, - 1) Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.Graph y=(x-6)^2. Step 1. Find the properties of the given parabola. Tap for more steps... Step 1.1. Use the vertex form, , to determine the values of , , and . Step 1.2. Since the value of is positive, the parabola opens up. Opens Up. Step 1.3. Find the vertex. Step 1.4. Find , the distance from the vertex to the focus.